%0 Journal Article %T Growth Estimates for a Class of Subharmonic Functions in a Half Plane %A Pan Guoshuang %A Deng Guantie %J Mathematics %D 2008 %I arXiv %X A class of subharmonic functions represented by the modified kernels are proved to have the growth estimates $u(z)= o(y^{1-\alpha}|z|^{m+\alpha})$ at infinity in the upper half plane ${\bf C}_{+}$, which generalizes the growth properties of analytic functions and harmonic functions. %U http://arxiv.org/abs/0811.2131v1